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GCD of 375, 361, 338, 221 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 375, 361, 338, 221 quickly. Get the easiest ways to solve the greatest common divisor of 375, 361, 338, 221 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 375, 361, 338, 221 with Factoring?

Given Input numbers are 375, 361, 338, 221

In the factoring method, we have to find the divisors of all numbers

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221


GCD of numbers is the greatest common divisor

So, the GCD (375, 361, 338, 221) = 1.

Find GCD of 375, 361, 338, 221 using Prime Factorization

Given numbers are 375, 361, 338, 221

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 361 are 19 x 19

Prime factors of 338 are 2 x 13 x 13

Prime factors of 221 are 13 x 17

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 375, 361, 338, 221 using LCM Formula

Given numbers are 375, 361, 338, 221

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(375, 361) = 135375

GCD(375, 361) = ( 375 x 361 ) / 135375

= 375 / 361

= 375


Step2:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1


So, Greatest Common Divisor of 375, 361, 338, 221 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 375, 361, 338, 221

Given numbers are 375, 361, 338, 221
The greatest common divisor of numbers 375, 361, 338, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 361, 338, 221 is 1.

FAQs on GCD of 375, 361, 338, 221 Calculator

1. What is the GCD of 375, 361, 338, 221?

GCD of given numbers 375, 361, 338, 221 is 1


2. How to calculate the greatest common divisor of 375, 361, 338, 221?

We can find the highest common divisor of 375, 361, 338, 221 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 375, 361, 338, 221 i.e 1.


3. How can I use the GCD of 375, 361, 338, 221Calculator?

Out the numbers 375, 361, 338, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.